document.write( "Question 1142155: One-half of Peter’s age two years from now plus one-third of his age three years ago is 20. How old is Peter? \n" ); document.write( "

Algebra.Com's Answer #762814 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let P be the Peter's age now.\r\n" );
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document.write( "Then the condition gives you this equation\r\n" );
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document.write( "     +  = 20.\r\n" );
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document.write( "To solve it, multiply both sides of the equation by 6. You will get\r\n" );
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document.write( "    3*(P+2) + 2*(P-3) = 120,\r\n" );
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document.write( "    3P + 6 + 2P - 6 = 120,\r\n" );
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document.write( "    5P              = 120\r\n" );
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document.write( "     P              = 120/5 = 24.\r\n" );
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document.write( "ANSWER.  Peter is 24 years old.\r\n" );
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